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Counting unipotent representations in transverse characteristic

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GR2W01 - Counting conjectures and beyond

Unipotent (irreducible) representations over the complex numbers have been classified by Lusztig in the 70’s. The original parametrisation involves unipotent classes of the reductive group as well as some representation theoretic data associated to some “small” finite groups. In this talk I will explain how one can guess (and obtain in many cases) a similar parametrisation for irreducible representations in positive characteristic. The situation becomes particularly interesting when the characteristic is small.  

This talk is part of the Isaac Newton Institute Seminar Series series.

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